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Find kerT and range T and also find their basis and dimension. Hence verify ranknullity for the following linear transformations :
a) T: R^3>R
T(x,y,z)=x+y+z
b) T:R^3>R^3 s.t
T(x,y,z)=(x+2yz, y+z, x+y2z)
 one year ago
 one year ago
Find kerT and range T and also find their basis and dimension. Hence verify ranknullity for the following linear transformations : a) T: R^3>R T(x,y,z)=x+y+z b) T:R^3>R^3 s.t T(x,y,z)=(x+2yz, y+z, x+y2z)
 one year ago
 one year ago

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amistre64Best ResponseYou've already chosen the best response.0
just a thought, but R^3 has 3 rows, n columns R^1 has 1 row, 1 column in order to map R^3 into R^1 we would have to have T as a 3x1 matrix right?
 one year ago

amistre64Best ResponseYou've already chosen the best response.0
a also reminds me of a plane equation; <1,1,1> dot s<x,y,z> = 0 not that that makes things any clearer for me
 one year ago

anjali_pantBest ResponseYou've already chosen the best response.0
try the next question !
 one year ago
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